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SashulF [63]
3 years ago
5

5. Suppose you are the manager of a music store. At the end of one week you are going over

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

Step-by-step explanation:

x = cheaper compact disc

y = more expensive compact disc

x + y = 375.....x = 375 - y

12.95x + 14.95y = 5306.25

12.95(375 - y) + 14.95y = 5306.25

4856.25 - 12.95y + 14.95y = 5306.25

4856.25 + 2y = 5306.25

2y = 5306.25 - 4856.25

2y = 450

y = 450/2

y = 225 <==== there were 225 of the more expensive compact discs sold

x + y = 375

x + 225 = 375

x = 375 - 225

x = 150 <==== there were 150 of the cheaper compact discs sold

check...

12.95x + 14.95y = 5306.25

12.95(150) + 14.95(225) = 5306.25

1942.50 + 3363.75 = 5306.25

5306.25 = 5306.25 (correct)

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A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

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3 years ago
How many solutions does the following system of equations have y=2x+2 &amp; 2y=4x+4
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Answer:

y=2x + 2

0= 2x +2

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x= -1

Step-by-step explanation:

2y = 4x +4

2y -4x =4

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3 years ago
HELPPP FOR BRIANLEST!!!!
daser333 [38]

Answer:

12/17

Step-by-step explanation:

total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)

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Read 2 more answers
Find the standard normal area for each of the following (Round your answers to 4 decimal places.): Standard normal area a.P(1.26
kotykmax [81]

Answer:

The correct answer is:

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= P(1.26

= P(Z

= 0.9846-0.8962

= 0.0884

(b)

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= 0.0190

(c)

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= 0.9798-0.0202

= 0.9596

(d)

= P(Z>0.55)

= 1-P(Z

= 1-0.7088

= 0.2912

8 0
3 years ago
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